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PercentageStructured · 4 marks

Mr Ravi bought a tablet for $680 after a discount of 20%. He also bought a pair of earphones for $90 after a discount. The total discount on the tablet and the earphones was $230.

  1. Find the original price of the tablet.
  2. What was the percentage discount on the earphones?
Need a hint?

First find the discount on the tablet. Then the discount on the earphones is what is left of the $230. Compare it with the ORIGINAL price of the earphones.

Worked answer

  1. (a) After a 20% discount, Mr Ravi paid 100% − 20% = 80% of the original price. So 80% = 45 of the original price = $680.
  2. 45 = $680, so 1 unit of 15 = $680 ÷ 4 = $170.
  3. Original price of the tablet = 5 × $170 = $850. The discount on the tablet was 1 unit = $170.
  4. (b) Discount on the earphones = $230 − $170 = $60.
  5. Original price of the earphones = $90 + $60 = $150.
  6. Percentage discount = $60 ÷ $150 × 100% = 40%.
Answer: 40%

The mistake this question tests

Habit

Found the increase, not the new price

Many pupils work out the percentage using the price Mr Ravi paid ($90) instead of the original price, because the discount is always a percentage of the original price.

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